10646640 has 200 divisors, whose sum is σ = 38890368. Its totient is φ = 2695680.

The previous prime is 10646627. The next prime is 10646651. The reversal of 10646640 is 4664601.

10646640 is a `hidden beast` number, since 10 + 6 + 4 + 6 + 640 = 666.

It is a super-2 number, since 2×10646640² = 226701886579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200854 + ... + 200906.

Almost surely, 2^10646640 is an apocalyptic number.

10646640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445184).

10646640 is an abundant number, since it is smaller than the sum of its proper divisors (28243728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10646640 is a wasteful number, since it uses less digits than its factorization.

10646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10646640 is about 3262.9189386192. The cubic root of 10646640 is about 219.9906332100.

The spelling of 10646640 in words is "ten million, six hundred forty-six thousand, six hundred forty".